Question

Коля собирал модели машин,самолётов и параходов,причём машин и самолётов у него было 56 моделей,а самолётов—на 12 моделей больше,чем пароходов. Сколько моделей каждого вида было у Коли,если всего его коллекция насчитывала 82 модели

Answer 1

82-56=26 - пароходов
26+12=38 -самолётов
82- (26+38)=82-64=18 - машин

Answer 2

Problem Analysis

We are given that Kolya collected models of cars, airplanes, and steamboats. He had a total of 82 models in his collection. Among these, he had 56 models of cars and airplanes, with the number of airplanes being 12 more than the number of steamboats. We need to determine how many models of each type Kolya had.

Solution

Let's assume the number of models of steamboats is x.

According to the given information, the number of models of cars and airplanes is 56, which can be expressed as:

Number of cars + Number of airplanes = 56

Since the number of airplanes is 12 more than the number of steamboats, we can express this as:

Number of airplanes = Number of steamboats + 12

We also know that the total number of models in Kolya's collection is 82, which can be expressed as:

Number of cars + Number of airplanes + Number of steamboats = 82

Now we can solve these equations to find the values of the variables.

Solution Steps

1. Let's substitute the second equation into the first equation to eliminate the number of airplanes:

Number of cars + (Number of steamboats + 12) = 56

Number of cars + Number of steamboats + 12 = 56

2. Rearrange the equation to isolate the number of cars:

Number of cars = 56 - Number of steamboats - 12

Number of cars = 44 - Number of steamboats

3. Substitute the values from the third equation into the equation above:

(44 - Number of steamboats) + Number of steamboats = 82

44 + Number of steamboats - Number of steamboats = 82

44 = 82

This equation is not possible, as it leads to an inconsistency. Therefore, there is no solution that satisfies all the given conditions.

Conclusion

Based on the given information, it is not possible to determine the number of models of each type (cars, airplanes, and steamboats) that Kolya had in his collection. The given information leads to an inconsistency, and there is no solution that satisfies all the conditions.